TABLE I.

MG Parameters. Set A is used by Tyson et. al. to produce spiral waves in a 2D spatially-extended system [28]. Set B is used to produce wider waves for cell-populations with half the number density used for Set A. Space and time units are normalized using $x_{\mathit{Scale}}=\sqrt{k_e{D}_{\gamma }/k_1}$ and t_Scale = ¹/_k1 respectively, where k_e is the rate of dissociation of cAMP in the extracellular environment, D_γ is the diffusion coefficient for extracellular cAMP and k₁ is the rate of phosphorylation of active free receptor. In order to increase wave-width, we increased the rate of transport of intracellular cAMP by 10% while decreasing the rate of extracellular phosphodiasterase (k_e) by a factor of 2.3 such that the space-scale is unchanged (implying the diffusion coefficient (D_γ) increases by a factor of 2.3). This results in a change in the Tyson parameters s₁, s₂, ε′ and ε. The doubled time-scale in Set B implies that all rate parameters are actually halved in physical units. This was done to maintain a realistic wave speed in our simulation to test the effect of spatial size of the wave on LEGI response.

Parameter	Set A	Set B
κ	18.5	18.5
L1	10	10
L2	0.005	0.005
c	10	10
λ1	0.001	0.001
λ2	2.4	2.4
s1	950	906.8182
s2	0.05	0.1265
ε′	0.019	0.0181
ε	0.01	0.023
KM	4 × 10−4 M	4 × 10−4 M
KR	1 × 10−7 M	1 × 10−7 M
RT	3 × 10−8 M	3 × 10−8 M
tScale	8.3 min	16.6 min
xScale	4.5 mm	4.5 mm